Five-loop four-point integrand of 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math>
 supergravity as a generalized double copy

Bern, Zvi; Carrasco, John Joseph M.; Chen, Wei-Ming; Johansson, H.; Roiban, Radu; Zeng, M.

doi:10.1103/physrevd.96.126012

Cited by 117 publications

(144 citation statements)

References 137 publications

Supporting

Mentioning

127

Contrasting

Unclassified

Order By: Relevance

“…This procedure hinges upon finding a representation of the gauge theory amplitudes built from trivalent graphs with color and kinematic numerator factors fulfilling Jacobi-like identities. It was originally observed for pure gauge theories (with and without supersymmetry) which double copied to pure (super)-gravities and has proven to be an efficient tool also beyond tree-level (where proofs of the double-copy exist [4,5]) to generate amplitude integrands at high-loop orders in the maximal supersymmetric case [6,7]. By now the doublecopy has been observed in a large set of gravitational theories involving massless fields, including pure gravity [8], pure and matter coupled supergravities [8][9][10] as well as Einstein-Yang-Mills theories [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Double copy of massive scalar QCD

2020

View full text Add to dashboard Cite

We construct the gravitational theory emerging from the double-copy of massive scalar quantum chromodynamics in general dimensions. The resulting two-form-dilaton-gravity theory couples to flavored massive scalars gravitationally and via the dilaton. It displays scalar self-interaction terms of arbitrary even order in the fields but quadratic in derivatives. We work out the emerging Lagrangian explicitly up to the sixth order in scalar fields and propose an all order form.

show abstract

Section: Introductionmentioning

confidence: 99%

Double copy of massive scalar QCD

2020

View full text Add to dashboard Cite

show abstract

“…See [6] for a recent example at five loops, based on developments in [7]. It is therefore natural to ask if a similar "double copy" structure also underlies, thereby simplifying, the calculation of observables beyond the S-matrix.…”

Section: Introductionmentioning

confidence: 99%

“…By definition, a spherically symmetric particle is one in which m 2 ðSÞ is a function of the Lorentz invariants 6 constructed from S IJ . The function m 2 ðSÞ is not predicted by the effective point particle theory, but is determined by matching to the full UV theory of the extended object.…”

mentioning

confidence: 99%

Spinning particles, axion radiation, and the classical double copy

Goldberger¹,

Li²,

Prabhu³

2018

Phys. Rev. D

136

120

View full text Add to dashboard Cite

We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) ϕ and the Kalb-Ramond axion field B μν . Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d ¼ 4, corresponds to a gyromagnetic ratio equal to Dirac's value g ¼ 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields ðϕ; g μν ; B μν Þ has interactions which match those of d-dimensional "string gravity," as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.

show abstract

“…Several calculations have been done with the use of the colour-kinematics duality (CKD), going from supersymmetric theories, up to five-loop level [10][11][12][13][14][15][16][17][18][19][20], to non-supersymmetric ones, up to two-loop level [21][22][23]. Similarly, new relations at oneloop level have been found with a clever use of the BCJ relations with string theory [24][25][26][27][28] and unitarity based methods [29,30].…”

Section: Jhep12(2017)122mentioning

confidence: 99%

From Jacobi off-shell currents to integral relations

Llanes

Rodrigo

Bobadilla

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper, we study off-shell currents built from the Jacobi identity of the kinematic numerators of gg → X with X = ss, qq, gg. We find that these currents can be schematically written in terms of three-point interaction Feynman rules. This representation allows for a straightforward understanding of the Colour-Kinematics duality as well as for the construction of the building blocks for the generation of higher-multiplicity tree-level and multi-loop numerators. We also provide one-loop integral relations through the Loop-Tree duality formalism with potential applications and advantages for the computation of relevant physical processes at the Large Hadron Collider. We illustrate these integral relations with the explicit examples of QCD one-loop numerators of gg → ss.

show abstract

Five-loop four-point integrand of N=8 supergravity as a generalized double copy

Cited by 117 publications

References 137 publications

Double copy of massive scalar QCD

Double copy of massive scalar QCD

Spinning particles, axion radiation, and the classical double copy

From Jacobi off-shell currents to integral relations

Contact Info

Product

Resources

About